Math Snap

STEP 1

Assumptions1. The price of a-shirt is $7. The price of shorts is$73. The total sales amount in April is $5884. The number of-shirts sold is6 times the number of shorts sold

STEP 2

Let's denote the number of shorts sold as x. Then, the number of-shirts sold is6x.

STEP 3

The total sales amount is the sum of the cost of the-shirts and the cost of the shorts. We can write this as an equation$$Total\, sales = Cost\, of\,-shirts + Cost\, of\, shorts$$

STEP 4

Substitute the given values into the equation. The cost of each item is its price multiplied by the quantity sold.
\($\)588 = \($\)7 \times6x + \($\)7 \times x

STEP 5

implify the equation.
\($\)588 = \($\)42x + \($\)7x

STEP 6

Combine like terms.
\($\)588 = \($\)49x

STEP 7

To find the number of shorts sold (x), divide both sides of the equation by49.
x = \($\)588 / \($\)49

STEP 8

Calculate the value of x.
x = \($\)588 / \($\)49 =12

STEP 9

Now that we know the number of shorts sold, we can find the number of-shirts sold by multiplying the number of shorts by6.
$$Number\, of\,-shirts =6 \times Number\, of\, shorts$$

STEP 10

Substitute the value of the number of shorts into the equation.
$$Number\, of\,-shirts =6 \times12$$

Calculate the number of-shirts.
$$Number\, of\,-shirts =6 \times =72$$ots sold72-shirts and shorts.